When coordination games are played under the logit choice rule and there is intentional bias in agents’ non-best response behavior, we show that the Egalitarian bargaining solution emerges as the long run social norm. Without intentional bias, a new solution, the Logit bargaining solution emerges as the long run norm. These results contrast with results under non-payoff dependent deviations from best response behavior, where it has previously been shown that the Kalai-Smorodinsky and Nash bargaining solutions emerge as long run norms. We complement the theory with experiments on human subjects, results of which suggest that non-best response play is payoff dependent and displays intentional bias. This suggests the Egalitarian solution as the most likely candidate for a long run bargaining norm.